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<pre>
      SUBROUTINE <a name="CLARTV.1"></a><a href="clartv.f.html#CLARTV.1">CLARTV</a>( N, X, INCX, Y, INCY, C, S, INCC )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  -- LAPACK auxiliary routine (version 3.1) --
</span><span class="comment">*</span><span class="comment">     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
</span><span class="comment">*</span><span class="comment">     November 2006
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Scalar Arguments ..
</span>      INTEGER            INCC, INCX, INCY, N
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Array Arguments ..
</span>      REAL               C( * )
      COMPLEX            S( * ), X( * ), Y( * )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Purpose
</span><span class="comment">*</span><span class="comment">  =======
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  <a name="CLARTV.18"></a><a href="clartv.f.html#CLARTV.1">CLARTV</a> applies a vector of complex plane rotations with real cosines
</span><span class="comment">*</span><span class="comment">  to elements of the complex vectors x and y. For i = 1,2,...,n
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     ( x(i) ) := (        c(i)   s(i) ) ( x(i) )
</span><span class="comment">*</span><span class="comment">     ( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Arguments
</span><span class="comment">*</span><span class="comment">  =========
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  N       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The number of plane rotations to be applied.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  X       (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
</span><span class="comment">*</span><span class="comment">          The vector x.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  INCX    (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The increment between elements of X. INCX &gt; 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Y       (input/output) COMPLEX array, dimension (1+(N-1)*INCY)
</span><span class="comment">*</span><span class="comment">          The vector y.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  INCY    (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The increment between elements of Y. INCY &gt; 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  C       (input) REAL array, dimension (1+(N-1)*INCC)
</span><span class="comment">*</span><span class="comment">          The cosines of the plane rotations.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  S       (input) COMPLEX array, dimension (1+(N-1)*INCC)
</span><span class="comment">*</span><span class="comment">          The sines of the plane rotations.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  INCC    (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The increment between elements of C and S. INCC &gt; 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  =====================================================================
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Local Scalars ..
</span>      INTEGER            I, IC, IX, IY
      COMPLEX            XI, YI
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Intrinsic Functions ..
</span>      INTRINSIC          CONJG
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Executable Statements ..
</span><span class="comment">*</span><span class="comment">
</span>      IX = 1
      IY = 1
      IC = 1
      DO 10 I = 1, N
         XI = X( IX )
         YI = Y( IY )
         X( IX ) = C( IC )*XI + S( IC )*YI
         Y( IY ) = C( IC )*YI - CONJG( S( IC ) )*XI
         IX = IX + INCX
         IY = IY + INCY
         IC = IC + INCC
   10 CONTINUE
      RETURN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     End of <a name="CLARTV.76"></a><a href="clartv.f.html#CLARTV.1">CLARTV</a>
</span><span class="comment">*</span><span class="comment">
</span>      END

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